I have a F visa, do I need to leave the country to apply for Z type?

I've been in China on a F type, I've just set up domestic company (内资) which I am the legal representative and general manager off. I can take my company's documents to apply for a work permit. The company that helps me told me I won't have to leave to country if I apply for a Z type. Will I need to leave China?
Is a foreign expert one the same as a proper work Z?